Methods for increasing the recovery of hydrocarbons from a subterranean reservoir. A method may include the steps of injecting a first fluid into a first horizontal well in the reservoir by a first device; producing hydrocarbons from a second horizontal well disposed below the first well; injecting a second fluid into a third well laterally offset from each of the first and second wells while continuing to produce hydrocarbons from the second well; and selectively ceasing injection into the first well when the second well is in fluid communication with the third well. The first and second fluid may comprise steam, carbon dioxide, oxygen, or combinations thereof. Injection into the first well selectively may be ceased when pressure in the first well is increased to a first injection pressure.